Bridges 2010 Short Paper
Ad Quadratum Ad Infinitum
(Proceedings pages 459–462)
We consider planar patterns with two colours, white and black, that
are periodic along two non-colinear directions and such that the
white and black regions are related by one Euclidean isometry. The
fundamental cells of these patterns have half the area in white and
the other half in black. In Roman mosaics with two colours exhibiting
square- based repetitive patterns, the balance between the two
colours is often solved via the ad quadratum geometrical construction.
Several patterns observed in Roman mosaics with two colours, mainly
from Conimbriga, are presented to illustrate this idea.